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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
5
×D
7
and Q=
S
3
Direct product G=N×Q with N=
C
5
×D
7
and Q=
S
3
d
ρ
Label
ID
C
5
×S
3
×D
7
105
4
C5xS3xD7
420,25
Semidirect products G=N:Q with N=
C
5
×D
7
and Q=
S
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×D
7
)⋊S
3
=
D
7
×D
15
φ:
S
3
/
C
3
→
C
2
⊆ Out
C
5
×D
7
105
4+
(C5xD7):S3
420,26
×
⋊
ℤ
𝔽
○
≀
ℚ
◁